Separate the 1st 2 terms from the 3rd term:
y = x^2 - 8x + 7
Next, take half of the coefficient of x (that is, half of -8).
In this case that'd come out to -4.
Square this -4 and add the result (16) to x^2 - 8x: x^2 - 8x + 16; subtract -16 from 7:
x^2 - 8x + 16 7 - 16
Write the trinomial as
a perfect square:
(x-4)^2 -9
The answer is (x-4)^2 - 9.
This approach is very useful. Note that the vertex of the parabola represented by the given polynomiql is (4,-9).
Answer:
Step-by-step explanation:
Given
Required
Simplify and present your answer in
First, we need to expand and factorize the numerator:
Express 12 as 10 + 2
Split into two using brackets
Split to two fractions:
Factorize the numerator of the first fraction
The first fraction can be simplified to give:
Hence, by comparison:
We have simplified the given expression to the required format of:
Which implies that:
and
Answer: The total cost of their meal with tax= $23.49
Step-by-step explanation:
Given: Cost of the three dinners before tax = $21.65
Tax = 8.5%
Tax amount = 8.5% of ( Cost of the three dinners before tax)
= (0.085) x 21.65 [0.085 = 8.5%]
= $1.84025 ≈ $ 1.84
The total cost of their meal with tax = Cost + Tax amount
= 21.65 + 1.84
= $23.49
Hence, the total cost of their meal with tax= $23.49
Answer:
6
Step-by-step explanation: